Question

The graph shows quadrilaterals ABCD and A'B'C'D'. Quadrilateral ABCD has the points (6, 0) for A, (4, 4) for B, (1, 0) for C, and (3, -4) for D in a rhombus-like shape.
Quadrilateral A'B'C'D' has the points (-2, 0) for A', (-4, 4) for B', (-7, 0) for C', (-5, -4) for D' in a rhombus-like shape.
Which transformation maps quadrilateral ABCD onto quadrilateral A'B'C'D'?
A. Reflection across the x-axis
B. Reflection across the y-axis
C. Rotation 90 degrees clockwise about the origin
D. Translation 8 units to the left.
E. Rotation 270 degrees counterclockwise about the origin
F. Translation 3 units to the left

Answer 1

D. Translation 8 units to the left.

Each point's x-coordinate is 8 less and the y-coordinate is unchanged: (6,0)→(-2,0), (4,4)→(-4,4), (1,0)→(-7,0), (3,-4)→(-5,-4), so the figure is translated by (-8,0).